Arithmetic Reasoning Questions Answers

• 1. In a group of 15 people, 7 read French, 8 read English while 3 of them read none of these two. How many of them read French and English both ?

  1. 2
  2. 3
  3. 4
  4. 5

  Answer :

  Option B

• 2. Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?

  1. 240 gm
  2. 220 gm
  3. 225 gm
  4. 250 gm

  Answer :

  Option A

  Explanation:

  Seven pieces consist of 6 smaller equal pieces and one half cake piece.
  
  Weight of each small piece = 20 gm
  So, total weight of the cake = 2 (20 * 6) = 240 gm

• 3. Reena is twice as old as Sunita. Three years ago, she was three times as old as Sunita. How old is Reena now ?

  1. 6 years
  2. 12 years
  3. 14 years
  4. 16 years

  Answer :

  Option B

  Explanation:

  Let Sunita's present age = x years
  Then Reena present age = 2x years
  
  Three years ago
  (2x-3) = 3(x-3)
  2x - 3 = 3x - 9
  or x = 6
  
  Reena age = 2x = 2*6 = 12 year.

• 4. A certain number of horses and an equal number of men are going somewhere. Half of the owners are on their horses' back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there ?

  1. 8
  2. 10
  3. 12
  4. 14

  Answer :

  Option D

  Explanation:

  Let number of horses = number of men = x.
  
  Then, number of legs = 4x + 2 x (x/2) = 5x.
  
  So, 5X = 70 or x = 14.

• 5. First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch are

  1. 9
  2. 10
  3. 12
  4. 15

  Answer :

  Option D

  Explanation:

  Let the number of bananas in the second bunch be x.
  Then, the number of bananas in the first bunch
  = x + 1/4 x
  = 5/4 x
  So,
  5/4 x - x = 3
  => 5x - 4x = 12
  x = 12
  
  Number of bananas in first bunch
  = 5/4 * 12 = 15

• 6. In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is

  1. 5
  2. 8
  3. 10
  4. 15

  Answer :

  Option D

  Explanation:

  Let the number of keepers be x.
  Then, total number of feet = 2*50+4*45+4*8+2x
  = 2x + 312
  
  Total number of heads = 50+45+8+x = 103 + x
  Now, (2x+312) = (103+x)+224
  => x = 15

• 7. A shepherd had 27 sheep. All but 10 died. How many he left with ?

  1. 10
  2. 15
  3. 17
  4. 27

  Answer :

  Option A

  Explanation:

  "All but 10 died" means all except 10 died, so he is remained with 10 sheep.